(08.01 MC) A food packet is dropped from a helicopter and is modeled by the function f(x) = −12×2 + 19200. The graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: Use the graph to determine the domain of f(x) for all viable x values based on the context.
Read Details(06.01, 06.02 HC) Part A: Create a fifth-degree polynomial with four terms in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)
Read Details(05.07 HC) A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data: Number of hours of sunlight(x) 0 1 2 3 4 5 6 7 8 9 Height of plant in cm(y) 4 7 10 13 16 19 22 25 28 31 Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Read Details(06.02 MC) The lengths of two sides of a triangle are shown. Side 1: 8×2 − 5x − 2 Side 2: 7x − x2 + 3 The perimeter of the triangle is 4×3 − 3×2 + 2x − 6. Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points) Part B: What is the length of the third side of the triangle? Show your work. (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
Read Details(06.04 MC) The function f(x) = 40x + 8 represents the amount of money Makayla earns reupholstering furniture. The function g(x) = 3x − 4 represents her upfront costs. Find (f – g)(4) to determine how much profit she will make from four pieces of furniture.
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